Question

David is riding in an explicit formula for the arithmetic sequence 1013 1619 he comes up with sn equals 7 3 en what domain to david use for a seven generates the sequence

Answer 1

To find the value of n in the arithmetic sequence, David used the explicit formula and solved for n when the nth term of the sequence was given as 73.

Step-by-step explanation:

To find the explicit formula for the arithmetic sequence with the first term of 1013 and a common difference of 1619, we can use the formula:

sn = a + (n-1)d

where sn represents the nth term of the sequence, a is the first term, n represents the number of terms, and d is the common difference.

In this case, we want to find the value of n when the nth term of the sequence is 73. Substituting the given values into the formula, we get:

73 = 1013 + (n-1)1619

Next, we simplify the equation:

73 = 1013 + 1619n - 1619

Combine like terms:

73 = 1619n - 606

Move the constant to the other side:

1619n = 73 + 606

1619n = 679

Divide both sides by 1619:

n = 679 ÷ 1619

n ≈ 0.4198

Therefore, the value of n that David used is approximately 0.4198.